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Csch






Mathematica Notation

Traditional Notation









Elementary Functions > Csch[z] > Integration > Indefinite integration > Involving functions of the direct function and a power function > Involving powers of the direct function and a power function > Involving powers of csch and power > Involving znand linear arguments





http://functions.wolfram.com/01.23.21.0330.01









  


  










Input Form





Integrate[z^n Csch[c z]^\[Nu], z] == n! Csch[c z]^\[Nu] (1 - E^(2 c z))^\[Nu] Sum[(((-1)^j z^(-j + n))/((n - j)! (c \[Nu])^(j + 1))) HypergeometricPFQ[{Subscript[c, 1], \[Ellipsis], Subscript[c, j + 1], \[Nu]}, {1 + Subscript[c, 1], \[Ellipsis], 1 + Subscript[c, j + 1]}, E^(2 c z)], {j, 0, n}] /; Subscript[c, 1] == Subscript[c, 2] == \[Ellipsis] == Subscript[c, n + 1] == \[Nu]/2 && Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18